Extensions 1→N→G→Q→1 with N=C₅:D₄ and Q=C₂xC₄

Direct product G=NxQ with N=C₅:D₄ and Q=C₂xC₄

		d	ρ	Label	ID
C₂xC₄xC₅:D₄		160		C2xC4xC5:D4	320,1460

Semidirect products G=N:Q with N=C₅:D₄ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:D₄:₁(C₂xC₄) = C₂xD₄xF₅	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	40		C5:D4:1(C2xC4)	320,1595
C₅:D₄:₂(C₂xC₄) = D₁₀.C₂⁴	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	40	8+	C5:D4:2(C2xC4)	320,1596
C₅:D₄:₃(C₂xC₄) = C₄oD₄xF₅	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	40	8	C5:D4:3(C2xC4)	320,1603
C₅:D₄:₄(C₂xC₄) = D₅.2₊¹⁺⁴	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	40	8	C5:D4:4(C2xC4)	320,1604
C₅:D₄:₅(C₂xC₄) = C₄xD₄:₂D₅	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₅:D₄	160		C5:D4:5(C2xC4)	320,1208
C₅:D₄:₆(C₂xC₄) = C₄xD₄xD₅	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₅:D₄	80		C5:D4:6(C2xC4)	320,1216
C₅:D₄:₇(C₂xC₄) = C₄²:₁₁D₁₀	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₅:D₄	80		C5:D4:7(C2xC4)	320,1217
C₅:D₄:₈(C₂xC₄) = C₄².₁₀₈D₁₀	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₅:D₄	160		C5:D4:8(C2xC4)	320,1218
C₅:D₄:₉(C₂xC₄) = C₂xDic₅:₄D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₅:D₄	160		C5:D4:9(C2xC4)	320,1157
C₅:D₄:₁₀(C₂xC₄) = C₄².₁₈₈D₁₀	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₅:D₄	160		C5:D4:10(C2xC4)	320,1194
C₅:D₄:₁₁(C₂xC₄) = C₄².₉₁D₁₀	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₅:D₄	160		C5:D4:11(C2xC4)	320,1195
C₅:D₄:₁₂(C₂xC₄) = C₄xC₄oD₂₀	φ: trivial image	160		C5:D4:12(C2xC4)	320,1146
C₅:D₄:₁₃(C₂xC₄) = C₂⁴.₂₄D₁₀	φ: trivial image	80		C5:D4:13(C2xC4)	320,1158
C₅:D₄:₁₄(C₂xC₄) = C₁₀.₈2₊¹⁺⁴	φ: trivial image	160		C5:D4:14(C2xC4)	320,1176

Non-split extensions G=N.Q with N=C₅:D₄ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:D₄.₁(C₂xC₄) = C₂xD₄.F₅	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	160		C5:D4.1(C2xC4)	320,1593
C₅:D₄.₂(C₂xC₄) = Dic₅.C₂⁴	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	80	8-	C5:D4.2(C2xC4)	320,1594
C₅:D₄.₃(C₂xC₄) = Dic₅.₂₁C₂⁴	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	80	8	C5:D4.3(C2xC4)	320,1601
C₅:D₄.₄(C₂xC₄) = Dic₅.₂₂C₂⁴	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₅:D₄	80	8	C5:D4.4(C2xC4)	320,1602
C₅:D₄.₅(C₂xC₄) = D₅xC₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₅:D₄	80	4	C5:D4.5(C2xC4)	320,1421
C₅:D₄.₆(C₂xC₄) = C₂₀.₇₂C₂⁴	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₅:D₄	80	4	C5:D4.6(C2xC4)	320,1422
C₅:D₄.₇(C₂xC₄) = C₂xD₂₀.₂C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₅:D₄	160		C5:D4.7(C2xC4)	320,1416
C₅:D₄.₈(C₂xC₄) = C₄₀.₄₇C₂³	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₅:D₄	80	4	C5:D4.8(C2xC4)	320,1417
C₅:D₄.₉(C₂xC₄) = C₂xD₂₀.₃C₄	φ: trivial image	160		C5:D4.9(C2xC4)	320,1410

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